Nonlinear scalar field equation with competing nonlocal terms
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinearity"
DOI: 10.1088/1361-6544/ac0d47
Abstract: We find radial and nonradial solutions to the following nonlocal problem −Δu+ωu=Iα*F(u)f(u)−Iβ*G(u)g(u)inRN under general assumptions, in the spirit of Berestycki and Lions, imposed on f and g, where N ⩾ 3, 0 ⩽ β ⩽… read more here.
Keywords: competing nonlocal; nonlocal terms; scalar field; field equation ... See more keywords
The arbitrary-order fractional hyperbolic nonlinear scalar conservation law
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02697-8
Abstract: In this paper, we use a new powerful technique of arbitrary-order fractional (AOF) characteristic method (CM) to solve the AOF hyperbolic nonlinear scalar conservation law (HNSCL) of time and space. We present the existence and… read more here.
Keywords: order; scalar conservation; hyperbolic nonlinear; nonlinear scalar ... See more keywords